Abstract
Networks with random access protocols offer a fair access to all users, they also show a robustness towards node failures. These features make them an attractive solution for computer applications. A vast amount of present day networks work under this scheme, being Ethernet one of the most significant technological contributions in this area. Collision Resolution Protocols are a special kind of random access schemes, offering the advantage that stability of the network is guaranteed, provided that the average packet input rate does not exceed a given limit.
Throughput is defined as the number of successful transmissions in a given time period. Pippenger1 offered a non-constructive proof that a throughput of 1 is achievable in the limit if users are able to detect the number of transmissions involved in a collision. A constructive method to achieve a throughput of.532 was found by Georgiadis and Papantoni-Kazakos2, a result which was improved to.553 by Kessler and Sidi3 adding information to each of the transmitted packets. Panwar developed two constructive methods of achieving a throughput of 1 (in the limit) by means of multiple transmission powers4 and the use of detecting matrices5.
The purpose of this paper is to present a protocol that offers an interesting tradeoff when limited transmission power levels are permitted. Using this protocol, the designer is able to raise the achievable throughput to.553 by using 2 different transmission powers and to.578 choosing one of at most 3 selectable transmission powers. We also outline the method to achieve higher throughputs increasing the complexity of the transmitters. The scheme is applicable in today’s networks based on fiber optics and spread spectrum systems, where the number of simultaneous transmissions can be detected.
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References
N. Pippenger, Bounds on the performance of protocols for a multiple-access broadcast channel, IEEE Trans. on Information Theory, Vol IT-27(2). 145:151 (1981).
L. Georgiadis and P. Papantoni-Kazakos, A Collision Resolution Protocol for Random Access Channels with Energy Detectors, IEEE Trans. on Communications, Vol. COM-30(11), 2413:2420, (1982).
I. Kessler and M. Sidi, Mixing Collision Resolution Algorithms Exploiting Information of Successful Messages, IEEE Trans. on Information Theory, Vol. IT-34. 531:536, (1988).
S. Panwar, A Collision Resolution Algorithm for a Channel with Collisions of Known Multiplicity, Conf on Information Sciences and Systems, The John Hopkins University, Baltimore, Maryland, (1989).
S. Panwar, On Achieving a Throughput of One for a Random Access Channel with Collisions of Known Multiplicity, Proc. of IEEE Intern. Symp. on Inform. Theory, Budapest. 337, (1991).
J.I. Capetanakis, The Multiple Access Broadcast Channel: Protocol and Capacity Considerations, IEEE Trans. Info. Theory, Vol. IT-25. 505:515, (1979).
J. Hayes, An Adaptive Technique for Local Distribution, IEEE Trans. Commun., Vol. COM-26, No. 8. 1178:1186, (1978).
B.S. Tsybakov and V.A. Mikhailov, Free Synchronous Packet Access in a Broadcast Channel with Feedback, Probl. Information Transmission., Vol. 14(4). 259:280, (1978).
R.G. Gallager, Conflict Resolution in Random Access Broadcast Networks, Proc. AFOSR Workshop Communication Theory and Applications, Provincetown. 74:76, (1978).
B.S. Tsybakov and V.A. Mikhailov, Random Multiple Packet Access: Part-and-Try Mechanism, Probl. Information Transmission, Vol.16. 305:317, (1980).
D. Bertsekas and R.G. Gallager, “Data Networks,” Prentice-Hall, Englewood Cliffs, NJ (1987).
R.D. Yates, Methods of Multiple Access Communications with Energy Detectors, Rep. LIDS-Th-1557, Lab. Inform. Decision Syst., MIT, Cambridge MA, (1986).
B.S. Tsybakov, Resolution of a Conflict of Known Multiplicity, Probl. Information Transmission., Vol. 16(4). 134:144, (1980).
H. Halberstam and K.F. Roth, Sequences, Oxford University Press, 1966.
B. Lindström, An inequality for B2-Sequences, Journal of Combinatorial Theory, (6). 211:212, (1969).
B. Lindström, A Remark on B4-Sequences, Journal of Combinatorial Theory, (7). 276:277, (1969).
W. Grote, Collision Resolution Algorithms for Random Access Channels, Ph.D. diss., Polytechnic University, Brooklyn, (1992).
Massey, Collision-Resolution Algorithms and Random-Access Communications, Multi-user Communication Systems, Course and Lectures Series No. 265, Springer Verlag, N.Y., (1981).
Rom and M. Sidi, Multiple Access Protocols, Springer Verlag, N.Y., (1990).
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© 1994 Springer Science+Business Media New York
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Grote, W., Panwar, S. (1994). A Collision Resolution Algorithm for Random Access Channels Using Multiple Transmission Levels. In: Baeza-Yates, R. (eds) Computer Science 2. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-9805-0_23
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DOI: https://doi.org/10.1007/978-1-4757-9805-0_23
Publisher Name: Springer, Boston, MA
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